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115 lines
3.1 KiB

% Sets
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\D}{\mathcal{D}}
\newcommand{\T}{\mathcal{T}}
\newcommand{\Ell}{\mathcal{L}}
% Random Variable
\newcommand{\rv}[1]{\bm{#1}}
\newcommand{\map}[1]{#1^{\text{MAP}}}
% Matrix
\newcommand{\mat}[1]{\bm{#1}}
\newcommand{\inv}{^{\raisebox{.2ex}{$\scriptscriptstyle-\mkern-1.5mu1$}}}
\newcommand{\tran}{^{\mkern-1.5mu\raisebox{.2ex}{$\scriptscriptstyle\mathsf{T}$}}}
\newcommand{\itran}{^{\raisebox{.2ex}{$\scriptscriptstyle-\mkern-1.5mu\mathsf{T}$}}}
\newcommand{\Eye}{\mat{\mathrm{I}}}
% Pseudo Inputs
\newcommand{\ps}[1]{\bar{#1}}
\newcommand{\psmat}[1]{\ps{\mat{#1}}}
% Nicer empty set
\renewcommand{\emptyset}{\varnothing}
% Math operators
% General
\DeclareMathOperator{\id}{id}
\DeclareMathOperator*{\argmax}{argmax}
\DeclareMathOperator*{\argmin}{argmin}
\DeclareMathOperator{\atanTwo}{atan2}
\DeclareMathOperator{\sgn}{sgn}
\DeclareMathOperator{\diag}{diag}
\DeclareMathOperator{\tr}{tr}
\DeclareMathOperator*{\maximize}{maximize}
\DeclareMathOperator*{\minimize}{minimize}
\DeclareMathOperator{\subjectto}{subject\ to}
\DeclareMathOperator{\Oh}{\mathcal{O}}
\DeclareMathOperator{\softmax}{softmax}
\newcommand{\Powerset}[1]{2^{#1}}
\newcommand*{\diff}{\mathop{}\!\mathrm{d}}
\DeclarePairedDelimiter{\abs}{\vert}{\vert}
\newcommand{\nth}[2][th]{#2^{\text{#1}}}
% Probabilities
\DeclareMathOperator{\E}{\mathbb{E}}
\DeclareMathOperator{\cov}{cov}
\DeclareMathOperator{\var}{var}
\DeclareMathOperator{\corr}{\varrho}
\DeclareMathOperator{\p}{p}
\DeclareMathOperator{\q}{q}
\DeclareMathOperator{\KLdiv}{KL}
\DeclareMathOperator{\K}{\mathcal{K}}
\DeclareMathOperator{\Q}{\mathcal{Q}}
\DeclareMathOperator{\Norm}{\mathcal{N}}
\DeclareMathOperator{\Multi}{\mathcal{M}}
\DeclareMathOperator{\Ber}{\mathcal{B}}
\DeclareMathOperator{\Uni}{\mathbb{U}}
\DeclareMathOperator{\Ind}{\mathbb{I}}
\DeclareMathOperator{\GP}{\mathcal{GP}}
\DeclareMathOperator{\SPGP}{\mathcal{SPGP}}
\DeclareMathOperator{\indep}{\perp\mkern-9.5mu\perp}
\DeclareMathOperator{\nindep}{\centernot{\indep}}
\providecommand\given{}
\DeclarePairedDelimiterX{\Cond}[1]{(}{)}{
\renewcommand\given{%
\nonscript\mkern2mu
\delimsize\vert
\nonscript\mkern2mu
\mathopen{}
\allowbreak}
#1
}
\makeatletter
\newcommand{\Fun}{\@ifstar\@sfun\@fun}
\newcommand{\@fun}[1]{#1\Cond}
\newcommand{\@sfun}[1]{#1\Cond*}
\makeatother
\newcommand{\Prob}{\p\Cond}
\newcommand{\aProb}{\tilde{\p}\Cond}
\newcommand{\Variat}{\q\Cond}
\newcommand{\Gaussian}{\Norm\Cond}
\newcommand{\Multinomial}{\Multi\Cond}
\newcommand{\Uniform}{\Uni\Cond}
\newcommand{\Indicator}{\Ind\Cond}
\DeclarePairedDelimiterX{\KLdelim}[2]{(}{)}{%
#1\mkern2mu\delimsize\|\mkern2mu#2%
}
\newcommand{\KL}{\KLdiv\KLdelim}
\DeclarePairedDelimiterXPP{\Moment}[2]{#1}{[}{]}{}{
\renewcommand\given{%
\nonscript\mkern2mu
\delimsize\vert
\nonscript\mkern2mu
\mathopen{}
\allowbreak}
#2
}
\providecommand\with{}
\DeclarePairedDelimiterX{\Set}[1]{\{}{\}}{
\renewcommand\with{%
\nonscript\mkern2mu
\delimsize\vert
\nonscript\mkern2mu
\mathopen{}
\allowbreak}
#1
}
\DeclarePairedDelimiterXPP{\pix}[1]{\begingroup\scriptscriptstyle}{(}{)}{\endgroup}{\mkern-2mu#1\mkern-2mu}